Mathematics Tes...

Let α and β be the roots of the equation 

x²– ax + b = 0 and A_n = αⁿ + βⁿ, then 

A_n+1 – a.A_n + b. A_n–1 is equal to 

If the quadratic equation ax² + bx + 6 = 0 does not have two distinct real roots, then least value of 2a + b is 

Maximum value of f(x) = 4+6{x} / 1+2{x} is (where {.} denotes fractional part function)

If α, β are roots of equation 2x² + 7x + 3/2 = 0, then value of cot^–1α + cot^–1β is equal to -

If ƒ(x) = sin^–1x + cos^–1x + tan^–1x + cot^–1x + sec^–1x, then which of the following statement(s) is/are INCORRECT ?

Let g(x) = x² – 2x + 2 and ƒ(x) = x² + x + α. If ƒ(g(x)) = 0 has no real solution then the set of values of a is a subset of -

A monic quadratic polynomial y = ax² + bx + c having roots of opposite sign then which of the following can be correct ?

If exactly one root of equation x² – (p + 1)x + p = 0 lies in (0,4), then value of p can be-

Let α, β & γ are roots of equation x³ – λx² – 4 = 0 such that (2 + α) (2 + β) (2 + γ) is equal to 8, then

α² + β² + γ² is equal to-

Let α, β & γ are roots of equation x³ – λx² – 4 = 0 such that (2 + α) (2 + β) (2 + γ) is equal to 8, then

(4αβ – 1) (4βγ – 1) (4γα – 1) is equal to-